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Finding the Third Proportional to 295,331 and 442,900

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Solution

The third proportional to 295,331 and 442,900 is: 664,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,331 : 442,900 = 442,900 : x
  2. Step 2: Convert to fraction form
    295,331/442,900 = 442,900/x
  3. Step 3: Cross multiply
    295,331x = 442,900 × 442,900
  4. Step 4: Simplify right side
    295,331x = 196,160,410,000
  5. Step 5: Solve for x
    x = 196,160,410,000/295,331
  6. Step 6: Final answer
    x = 664,205.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.